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Loading analysis,as one of the most crucial procedures in the assessment of safety of the membrane structures,is to check the adequacy of structural stiffness and the extent of membrane stress and deformation,thus ensuring the structural stability and avoiding the wrinkling of membrane structures.In this paper,the analysis procedures are presented and the wrinkling of membrane structure,representing a major behavioral performance of the structure,is included with the modified constitutive relationship method.As for the judgment of the membrane wrinkling,the principal stress-strain criteria are incorporated.Thereafter,an integrated algorithm is developed,in which the Newton-Raphson method and updated Lagrange formulation are adopted.With the proposed algorithm,two fabric roof structures are analyzed.Results show that the presented method is feasible and reliable.
Loading analysis, as one of the most crucial procedures in the assessment of safety of the membrane structures, is to check the adequacy of structural stiffness and the extent of membrane stress and deformation, thus guarantee the structural stability and avoiding the wrinkling of membrane structures. In this paper, the analysis procedures are presented and the wrinkling of membrane structure, representing a major behavioral performance of the structure, is included with the modified constitutive relationship method. As for the judgment of the membrane wrinkling, the principal stress-strain criteria are incorporated.Thereafter, an integrated algorithm is developed, in which the Newton-Raphson method and updated Lagrange formulation are adopted. Based on the proposed algorithm, two fabric roof structures are analyzed. Results show that the presented method is feasible and reliable.